Supplement Lesson for Math 10 Q1 Weeks 1-2
Presentation
•
Mathematics
•
8th - 10th Grade
•
Easy
Aldrin Leonidas
Used 4+ times
FREE Resource
27 Slides • 18 Questions
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Supplement Lesson for Math 10 Q1 Weeks 1-3
by Sir Aldrin
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NOTE:
WE WILL HAVE A POST TEST AFTER THIS LESSON SO BE SURE YOU HAVE UNDERSTOOD ALL BEFORE WE END THIS SESSION.
YOU CAN GO BACK TO THIS LINK ANYTIME FOR A REVIEW. POST TEST WILL HAVE A DEADLINE FOR A FEW DAYS.
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WHAT WE NEED TO LEARN & UNDERSTAND TODAY:
PART I. SEQUENCE
1. What is a sequence?
2. What are the elements of a sequence?
3. What are the characteristics of a sequence?
4. What are the types of sequences?
5. What are the examples for each type of sequence.
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What's your
next line?
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Open Ended
Please write your answer here.
For you, what did Jolina say in the last part?
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Don't you know that what you did was
putting something in order.
By filling up what Jolina said, you were reading and
studying the previous conversations in order to fill up your
own version of appropriate response.
This skill that you have shown is relevant and a necessity
to our lesson involving SEQUENCE.
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1. So, what is a Sequence?
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Sequences involve patterns.
Identify the pattern is a key to recognizing the
rule of order in sequences.
If you are good at analyzing things,
our lesson will be "SISIW" for you.
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We can also illustrate sequences thru pictures.
For example, can you identify a pattern describe by the figures below?
Let me know...
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Here are my observations.
Are they same as yours?
What do you think is the next drawing for each sequence?
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2. What are the elements of a sequence?
Question: Is there a last term?
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3. What are the characteristics of a sequence?
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Can you classify each sequence below?
A FINITE sequence is definite and has a last term; but
An INFINITE sequence goes on forever so there is no last term.
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Other characteristics of a sequence.
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4.What are the types of sequence?
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Common
difference?
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19
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Common
ratio!
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22
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If you noticed, the denominators of a harmonic sequence consists of terms of an arithmetic sequence...
6, 10, 14, 18, 22, 26, 30, 34, 38
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Harmonic sequence in nature
The height of these sprouting
plants demonstrate harmonic
sequence:
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Harmonic sequence are also demonstrated in music through the notes. The dots in the arm of a guitar is actually an harmonic division. That is why it is called "harmonic".
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There are many other types of sequence but we will have to concentrate on the 4 examples you have been shown. They are:
ARITHMETIC SEQUENCE
GEOMETRIC SEQUENCE
FIBONACCI SEQUENCE and
HARMONIC SEQUENCE
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Open Ended
Which sequence is easiest for you to identify?
Why? Please give a short explanation.
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SHORT QUIZ
Take note that you will be given a time limit to answer.
Ready? Let's go!
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Fill in the Blanks
Type answer...
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Fill in the Blanks
Type answer...
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Multiple Choice
3. Which type of sequence is illustrated in the following example?
1/3, 1/5, 1/7, 1/9, 1/11
Arithmetic
Geometric
Fibonacci
Harmonic
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Multiple Choice
4. Which of the following illustrates a FINITE sequence?
1, 0, 1, 0, 1, 0, ...
2, 5, 8, 11, 14
5, 10, 15, 20, ...
1, 2, 3, 4, 5, ...
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Multiple Choice
5. Which type of sequence can be found demonstrated in nature thru the number of petals of specific flowers?
Arithmetic
Geometric
Fibonacci
Harmonic
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Multiple Choice
6.Music demonstrates the qualities of which type of sequence?
Arithmetic
Geometric
Fibonacci
Harmonic
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Multiple Choice
7. In an Arithmetic sequence 2, 6, 10, 14, ... the rule is actually...
subtract 4
add 4
multiply by 4
divide by 4
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Multiple Choice
8.What is the common ratio for the Geometric sequence 3, 9, 27, 81, 243, ... ?
2
3
4
6
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Multiple Choice
9. What is the common difference for the
Arithmetic sequence 10, 8, 6, 4, 2, ... ?
2
-2
1/2
- 1/2
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Multiple Choice
10. What is the 7th term of a Fibonacci sequence starting in 1?
Clue: 1, 1, 2, 3, 5, ...
8
12
13
15
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Fill in the Blanks
Type answer...
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Fill in the Blanks
Type answer...
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Fill in the Blanks
Type answer...
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Fill in the Blanks
Type answer...
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Multiple Choice
15. Which sequence has a common difference?
Arithmetic
Geometric
Fibonacci
Harmonic
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Multiple Choice
16. Which sequence has a common ratio?
Arithmetic
Geometric
Fibonacci
Harmonic
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Don't forget to message me for your questions.
-Sir Aldrin
Supplement Lesson for Math 10 Q1 Weeks 1-3
by Sir Aldrin
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